22560768000 has 720 divisors, whose sum is σ = 89067802824. Its totient is φ = 5662310400.

The previous prime is 22560767947. The next prime is 22560768023. The reversal of 22560768000 is 86706522.

22560768000 is a `hidden beast` number, since 22 + 560 + 76 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9815261184 + 12745506816 = 99072^2 + 112896^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1327103992 + ... + 1327104008.

Almost surely, 2^22560768000 is an apocalyptic number.

22560768000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22560768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44533901412).

22560768000 is an abundant number, since it is smaller than the sum of its proper divisors (66507034824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22560768000 is an frugal number, since it uses more digits than its factorization.

22560768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 22560768000 in words is "twenty-two billion, five hundred sixty million, seven hundred sixty-eight thousand".